Chapter 1 - Precalculus Review - 1.3 The Basic Classes of Functions - Exercises - Page 22: 15

Algebraic

According to the book, an algebraic function is made by "taking sums, products, and nth roots of polynomials and rational functions". The function $ f(x)=\sqrt{x}=x^{1/2}$ is made by taking the square root of $ x $. Thus, it is an algebraic function.